3x+14=(8x)-(21)

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Solution for 3x+14=(8x)-(21) equation:


Simplifying
3x + 14 = (8x) + -1(21)

Reorder the terms:
14 + 3x = (8x) + -1(21)

Multiply -1 * 21
14 + 3x = (8x) + -21

Reorder the terms:
14 + 3x = -21 + (8x)

Solving
14 + 3x = -21 + (8x)

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '(-8x)' to each side of the equation.
14 + 3x + (-8x) = -21 + (8x) + (-8x)

Combine like terms: 3x + (-8x) = -5x
14 + -5x = -21 + (8x) + (-8x)

Combine like terms: (8x) + (-8x) = 0
14 + -5x = -21 + 0
14 + -5x = -21

Add '-14' to each side of the equation.
14 + -14 + -5x = -21 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = -21 + -14
-5x = -21 + -14

Combine like terms: -21 + -14 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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